Binky (stylized as BINKY) is a Finnish band that became #1 on the charts in the U.S. in just two hours.
In the episodes "Binky Rules" and "Meet Binky," all the kids are talking about them.

Because their name is the same as Binky Barnes', they got him in trouble until Buster and Fern figured it out.

At their first concert, it is learned that they are just holograms created by their manager Svern's Troglibyte 2000, and their songs are made by his partner Winston's music emulation machine. However, in later episodes their character models are reused for non-BINKY roles.